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Simplifying a2 + -3ax + -18x2 = 0 Reorder the terms: -3ax + a2 + -18x2 = 0 Solving -3ax + a2 + -18x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -6x)(a + 3x) = 0Subproblem 1
Set the factor '(a + -6x)' equal to zero and attempt to solve: Simplifying a + -6x = 0 Solving a + -6x = 0 Move all terms containing a to the left, all other terms to the right. Add '6x' to each side of the equation. a + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 a + 0 = 0 + 6x a = 0 + 6x Remove the zero: a = 6x Simplifying a = 6xSubproblem 2
Set the factor '(a + 3x)' equal to zero and attempt to solve: Simplifying a + 3x = 0 Solving a + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. a + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 a + 0 = 0 + -3x a = 0 + -3x Remove the zero: a = -3x Simplifying a = -3xSolution
a = {6x, -3x}
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